Vortices on asymptotically Euclidean Riemann surfaces

DOI10.1016/0362-546X(90)90060-TzbMath0738.32018MaRDI QIDQ3970311

Yisong Yang

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principlecurvaturecalculus of variationsRiemann surfaceflux quantizationSobolev inequalitiesdivisorsholomorphic line bundlesuperconducting vorticesconnection 1-formasymptotically Euclidean Riemannian manifoldsGinzburg- Landau equations

Mathematics Subject Classification ID

Applications of holomorphic fiber spaces to the sciences (32L81)

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Cites Work

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• On Witten's proof of the positive energy theorem
• On the equivalence of the first and second order equations for gauge theories
• Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• On the proof of the positive mass conjecture in general relativity
• Curvature functions for compact 2-manifolds
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Vortices and the prescribed curvature problem
• Yang–Mills–Higgs theory on a compact Riemann surface